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|a eng
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| 044 |
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|b ليبيا
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| 100 |
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|9 444253
|a Leghwel, Abd Alrzak M.
|e Author
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| 245 |
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|a A Review to a Conjecture of Faith and Menal
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| 260 |
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|b الجامعة الأسمرية الإسلامية زليتن - كليتى الآداب والعلوم
|c 2012
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| 300 |
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|a 1 - 8
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| 336 |
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|a بحوث ومقالات
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| 520 |
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|b A theorem of Faith and Walker asserts that a ring R is quasi-Frobenius if and only if every injective right R-module is projective and hence that every right module over a quasi-Frobenius ring embeds in a free module. There is an open question here. If we call a ring R a right FGF-ring if every finitely generated right R-module can be embedded in a free right R-module, it is not known if the following assertion is true: The FGF- Conjecture. Every right FGF -ring is quasi-Frobenius. Here are four important results on th conjecture: (1) every left Kash , right FGF-ring is quasi-Frobenius. (2) every right self-injective, right FGF-ring is quasi Frobenius. (3) every right perfect, right FGF-ring is quasi-Frobenius. (4) ever right CS, right FGFring is quasi-Frobenius. We then turn to the fundamental work of Gomez Pardo and Guil Asensio. A ring R is called aright CF- ring if every cyclic (that is principal) right R-module can be embedded in a free module. The open question here is as follows:The CF-conjecture : every right CF-ring is right artinian . Referring to (4) from the preceding list, Gomez Pardo and Guil Asensio prove that every right CS, right CF-ring is right artinian. The paper concludes with a relation between CF-ring and CEP-ring .
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| 653 |
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|a المركبات الحيوية
|a وحدات سيمبرفيكت
|a الخصائص الراديكالية
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| 773 |
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|4 العلوم الإنسانية ، متعددة التخصصات
|6 Humanities, Multidisciplinary
|c 007
|l 021
|m ع21
|o 1582
|s مجلة العلوم الإنسانية والتطبيقية
|t Journal of Humanities and Applied Sciences
|v 000
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| 856 |
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|u 1582-000-021-007.pdf
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| 930 |
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|d y
|p y
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| 995 |
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|a HumanIndex
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| 999 |
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|c 829070
|d 829070
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